Separability properties of free groups and surface groups

DOI10.1016/0022-4049(92)90019-CzbMath0766.57002OpenAlexW2071616020MaRDI QIDQ1183359

Graham A. Niblo

Publication date: 28 June 1992

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(92)90019-c

zbMATH Keywords

free groupsprofinite topologyfinitely generated Fuchsian groupssurface groupssubgroup separablecoset separablefundamental groups of Seifert fibred 3-manifolds

Mathematics Subject Classification ID

Topological methods in group theory (57M07) Fundamental group, presentations, free differential calculus (57M05) Compact groups (22C05) Residual properties and generalizations; residually finite groups (20E26) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34)

Related Items (25)

Separability properties of certain tree products of groups ⋮ COMBINATORIAL GROUP THEORY, INVERSE MONOIDS, AUTOMATA, AND GLOBAL SEMIGROUP THEORY ⋮ Triangulations of \(3\)-manifolds with essential edges ⋮ Separable subsets of GFERF negatively curved groups. ⋮ Conjugacy separability of generalized free products of surface groups ⋮ Virtual pro-\(p\) properties of 3-manifold groups ⋮ Conjugacy separability of 1-acylindrical graphs of free groups. ⋮ Some examples of separable convex‐cocompact subgroups ⋮ On double coset separability and the Wilson–Zalesskii property ⋮ Cyclic conjugacy separability and conjugacy separability of certain HNN extensions ⋮ Finite state automata: A geometric approach ⋮ A criterion for the conjugacy separability of certain HNN extensions of groups ⋮ Goldman algebra, opers and the swapping algebra ⋮ PROFINITE TOPOLOGIES IN FREE PRODUCTS OF GROUPS ⋮ An algebra of observables for cross ratios ⋮ Conjugacy separability of certain Seifert 3-manifold groups ⋮ Conjugacy separability of Seifert 3-manifold groups over non-orientable surfaces. ⋮ Virtual retractions, conjugacy separability and omnipotence. ⋮ Double coset separability of abelian subgroups of hyperbolic $n$-orbifold groups ⋮ Profinite properties of graph manifolds ⋮ The geometry of profinite graphs with applications to free groups and finite monoids ⋮ An effective algebraic detection of the Nielsen–Thurston classification of mapping classes ⋮ Conjugacy separability of certain HNN extensions of groups. ⋮ On the profinite topology on negatively curved groups ⋮ On the Kurosh theorem and separability properties

Cites Work

• Unnamed Item
• Splittings of Poincaré duality groups
• On products of subgroups in polycyclic groups
• Subgroup separability and 3-manifold groups
• Subgroups of Surface Groups are Almost Geometric

This page was built for publication: Separability properties of free groups and surface groups